Design and Analysis of Experiments (ISS Statistics Paper IV): Questions 9 - 13 of 36

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Question number: 9

» Design and Analysis of Experiments » Analysis of Covariance

Appeared in Year: 2010

Essay Question▾

Describe in Detail

Discuss the procedure for carrying out the analysis and testing procedure by means of ANOVA table for two-way classification.

Explanation

Two-way ANOVA technique is used when there are two factors, which may affect the variate values. For example, the agricultural output may be affected by difference in treatments on the basis of seeds and also on the different fertilizers used.

Let there be two factors A and B which affect… (1165 more words) …

Question number: 10

» Design and Analysis of Experiments » Randomized Block and Latin Square Design

Appeared in Year: 2010

Essay Question▾

Describe in Detail

Treatments N, P, K and S are administered in 4 blocks through 4 columns. The layout of design is as shown below:

Columns

Design and Analysis of Experiments

Latin Square Designs

N

P

K

S

P

K

S

N

K

S

N

P*

S

N

P

K

Blocks

Identify the above design. If the observation (*) in third row and fourth column is missing, how would you estimate the missing yield?

Explanation

This is a 4 x 4 Latin square design with one missing observation.

Estimation of the missing yield:

The observation in the (ith) 3rd row, (jth) 4th column is missing.

i. e. yijk=Pismiss… (329 more words) …

Question number: 11

» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design

Appeared in Year: 2013

Essay Question▾

Describe in Detail

Identify the design given below, whose blocks are:

(1, 2, 3, 4); (2, 3, 4, 1) and (4, 1, 2, 3).

Write its parameters. Suppose a treatment ‘3’ belonging to 3rd row and 4th column is missing. How can you estimate that missing treatment? Estimate that value. Write degrees of freedom for error and total variation.

Explanation

This is the Randomized block design. (RBD)

Its parameters are t = treatments 4 and Blocks r = blocks = 3

Here i = 1, 2, 3, 4 and j = 1, 2, 3

The method of estimating the missing value:

let us consider the missing value as x belonging… (527 more words) …

Question number: 12

» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design

Appeared in Year: 2009

Essay Question▾

Describe in Detail

Explain the uniformity trials. Discuss their role in picking up a proper design.

Explanation

Uniformity trials helps to give idea about the fertility variation of the field.

A trial in which the field (experimental material) is divided into small units (plots) and the same treatment is applied on each of the units and their fields are recorded. From these yields, ‘fertility counter map’ is… (265 more words) …

Question number: 13

» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Discuss missing plot techniques in a RBD. Suppose one observation, say, ti is missing in one block of a RBD, derive a method to estimate that missing value.

Explanation

Missing plot techniques in a RBD:

Sometimes observations from one or more experimental units will be missing due to some unavoidable causes. There might be many unforeseen causes, for example, in agricultural experiments damages by pets or in animal experiment any animal may die or the observations from one or… (544 more words) …

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